• Title/Summary/Keyword: blocking probabilities

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Explicit Formulae for Characteristics of Finite-Capacity M/D/1 Queues

  • Seo, Dong-Won
    • ETRI Journal
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    • v.36 no.4
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    • pp.609-616
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    • 2014
  • Even though many computational methods (recursive formulae) for blocking probabilities in finite-capacity M/D/1 queues have already been produced, these are forms of transforms or are limited to single-node queues. Using a distinctly different approach from the usual queueing theory, this study introduces explicit (transform-free) formulae for a blocking probability, a stationary probability, and mean sojourn time under either production or communication blocking policy. Additionally, the smallest buffer capacity subject to a given blocking probability can be determined numerically from these formulae. With proper selection of the overall offered load ${\rho}$, the approach described herein can be applicable to more general queues from a computational point of view if the explicit expressions of random vector $D_n$ are available.

Queueing Models for Mission Effectiveness and its Numerical Evaluation (임무수행도 평가를 위한 대기행렬모형 및 수치평가)

  • Jo, I.Y.;Lee, H.W.;Lee, K.W.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.2
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    • pp.203-213
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    • 1996
  • A system is considered which is required to perform tasks that arrive randomly during a fixed mission duration. We develop queueing models to obtain the mission effectiveness and the blocking probabilities. Exact probabilities are computed by using the Finite Fourier Cosine Transform.

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A study on the optimization of network resource allocation scheme based on access probabilities (접근확률 기반의 네트워크 자원할당방식의 최적화에 관한 연구)

  • Kim Do-Kyu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.8
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    • pp.1393-1400
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    • 2006
  • This paper optimizes the access probabilities (APs) in a network resource allocation scheme based on access probabilities in order that the waiting time and the blocking probability are minimized under the given constraints, and obtains its performance. In order to optimize APs, an infinite number of balance equations is reduced to a finite number of balance equations by applying Neuts matrix geometric method. And the nonlinear programming problem is converted into a linear programming problem. As a numerical example, the performance measures of waiting time and blocking probability for optimal access probabilities and the maximum utilization under the given constraints are obtained. And it is shown that the scheme with optimal APs gives more performance build-up than the strategy without optimization.

An Extended Service Filtering Technique for Mass Calling-Type Services Using Intelligent Peripheral in an SCP-Bound Network

  • Jeong, Kwang-Jae;Kim, Tae-Il;Choi, Go-Bong
    • ETRI Journal
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    • v.20 no.2
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    • pp.115-132
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    • 1998
  • This paper proposes an extended service filtering technique to prevent overload in service control point (SCP) due to televoting (VOT) or mass calling (MAS) services with the heavy traffic characteristics. Also, this paper compares this extended technique with the existing overload control techniques, and calculates steady state call blocking probabilities in intelligent network (IN) under overload conditions. The proposed technique considers SCP overload and IN Capability Set (CS)-1 services (such as VOT or MAS service) that have to use the specialized resources of intelligent peripheral (IP). This technique uses first an activating step in which SCP requests service filtering to service switching point (SSP). Then, in the filtering step, SSP sends filtering results to SCP periodically or each N-calls. Also, when filtering time-out expires, SSP stops service filtering, and sends service filtering response to SCP in the deactivating step. This paper applies this technique to VOT/MAS service, and calculates SCP and SSP-IP (circuit) call blocking probabilities by using an analytical VOT/MAS service model. With the modeling and analyzing of this new technique, it shows that this technique reduces the traffic flow into SCP from SSP and IP prominently.

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Wavelength assignment algorithm to reduce discontinuity of virtual links in dynamic WDM network (동적인 WDM 네트워크에서 가상 링크의 불연속성을 감소시키는 파장 할당 기법)

  • You Seung-Yeon;Kim Sung-Chun
    • The KIPS Transactions:PartC
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    • v.13C no.2 s.105
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    • pp.167-170
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    • 2006
  • Most wavelength assignment algorithms assume that every node has infinite ADMs and I/O blocking is excluded. Furthermore wavelengths continue to occur intermittently in the network using existing algorithms. This can result in increased link blocking under dynamic traffic circumstances. In audition, it can create time-complexity problems such as O(W $N^3$) in the worst case scenario. In this paper, we propose a new wavelength assignment algorithm which has time-complexity of O(W $N^2$) and considers both I/O and link blocking. The basic idea is to maximize the number of links where wavelengths will be assigned continuously after present assignment. As a result, the number of intermittent wavelengths is minimized, and blocking probabilities are decreased.

Integrated Channel Management Schemes in Cellular Mobile Systems (이동통신시스템의 효율향상을 위한 통합채널운용체계)

  • 장근녕
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.1
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    • pp.85-92
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    • 2000
  • Channel management is critical in designing a cellular mobile system that offers high capacity and high quality. In this paper, an integrated channel management scheme is proposed, which consists of a dynamic channel allocation scheme and an admission control scheme. The dynamic channel allocation scheme allocates a call request the channel which minimizes the impact on its interfering cell, and consists of two types of channel allocation strategies : nominal channel allocation strategy and non-nominal channel allocation strategy. The admission control scheme named the variable cutoff priority scheme reserves some frequency channels for handoff cells in each cell the number of which varies according to the blocking probability of handoff class in that cell. Computationl tests are performed to evaluate the performance of the proposed scheme in terms of overall blocking probability, defined by the weighted value of the blocking probabilities of new calls and handoff calls. The results show that the proposed scheme yields better performance than other compared schemes.

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A Study of Survivable Alternate Routing Algorithm (생존성있는 대체 경로 라우팅 알고리즘 연구)

  • Park, Young-Chul
    • Journal of KIISE:Computing Practices and Letters
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    • v.13 no.7
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    • pp.535-539
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    • 2007
  • We study an degree of alternativeness and a survivability of alternate routing algorithm in mobile ad-hoc tactical communication networks. The common channel signaling scheme is used and flood search routing algorithm is used for analysis. We also study a connectivity performance for flood search routing, restricted flooding and hybrid routing. From the results we expect low blocking probabilities with alternate routing and the conventional flood search routing shows better connectivity performance which results in high survivability.

Analysis of the performances of random access channels in multi-service multi-user OFDMA systems according to resource management schemes (다중 서비스 다중 사용자 OFDMA 시스템에서의 자원할당방식에 따른 임의접근 채널 성능 분석)

  • Koo, In-Soo;Lee, Young-Du
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.237-239
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    • 2007
  • In the paper, we analyze the performances of random access channels in multi-service multi-user OFDMA systems. The resource of the random access channels in OFDMA systems is the nubmer of available sub-channels and PN-codes. For given available sub-channels and PN-codes. we analyze the performances of the random access channels of OFDMA systems according to three resource allocation methods (resource full sharing, resource partial sharing, resource partition) in tenus of the access success probability, the blocking probability, the access delay and the throughput of each service class. Further, we find the feasible region of the access probability of each service class in which the allowable minimum access success probability, the allowable maximum blocking probability and the allowable maximum access delay are satisfied. The results also can be utilized to find proper region of the access probabilities of each service class for differentiated quality of service(QoS)s, and for the system operations.

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Scalable Path Computation Flooding Approach for PCE-Based Multi-domain Networks

  • Perello, Jordi;Hernandez-Sola, Guillem;Agraz, Fernando;Spadaro, Salvatore;Comellas, Jaume
    • ETRI Journal
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    • v.32 no.4
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    • pp.622-625
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    • 2010
  • In this letter, we assess the scalability of a path computation flooding (PCF) approach to compute optimal end-to-end inter-domain paths in a path computation element-based multi-domain network. PCF yields a drastically reduced network blocking probability compared to a blind per-domain path computation but introduces significant network control overhead and path computation complexity. In view of this, we introduce and compare an alternative low overhead PCF (LoPCF) solution. From the obtained results, LoPCF leads to similar blocking probabilities to PCF while exhibiting around 50% path computation complexity and network control overhead reduction.

A Study on the Blocking Probabilities of Single-buffered switching Networks with Time Slot Sequence Integrity of Multi-slot Calls (다중스롯호의 타임스롯 순서제어를 고려한 단일 버퍼 스위치의 호손율 특성에 관한 연구)

  • 성단근;정민영;강기원
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.12
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    • pp.1300-1312
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    • 1991
  • In this paper we syudy the time slot sequence integrity(TSSI) of multi-slot calls in the single-buffered switching networks and analyze their traffic characteristics in terms of traffic mixture ratio, number of random searches for idle time slots, and their blocking probablities. This result can be utilized in the design of wideband switching networks in the single buffered systems, such as TDX IA/B swithcing systems, for accommodating multi slot calls.

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