ON A GENERALIZED M/G/1 QUEUE WITH SERVICE DEGRADATION/ENFORCEMENT

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概要

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• A generalized M/G/1 queueing system is considered where the efficiency of the server varies as the number of customers served in a busy period increases due to server fatigue or service enforcement. More specifically, the k-th arriving customer within a busy period has the random service requirement V_k where the 0-th customer initiates the busy period and V_k (k = 0,1,2,・・・) are mutually independent but may have different distributions. This model includes an M/G/1 queueing model with delayed busy period as a special case where V_k are i.i.d. for k ≥ 1. Transform results are obtained for the system idle probability at time t, the busy period, and the number of customers at time t given that m customers have left the system at time t since the commencement of the current busy period. The virtual waiting time at time t is also analyzed. A special case that V_k are i.i.d. for k ≥ 2 is treated in detail, yielding simple and explicit solutions.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Sumita U

  International University Of Japan

• Igaki Nobuko

  Tezukayama University

• Sumita Ushio

  International University of Japan

• Kowada Masashi

  Nagoya Institute of Technology

• Igaki N

  Tezukayama University

• Kowada M

  The Faculty Of Business Administration Of Information Science Chubu University

関連論文

• ON A GENERALIZED M/G/1 QUEUE WITH SERVICE DEGRADATION/ENFORCEMENT
• THEORY AND ALGORITHMS OF THE LAGUERRE TRANSFORM, PART II: ALGORITHM
• LARGE DEVIATIONS BOUNDS FOR A POLLING SYSTEM WITH MARKOVIAN ON/OFF SOURCES AND BERNOULLI SERVICE SCHEDULE
• ADMISSION CONTROL FOR A POLLING SYSTEM WITH MARKOV-MODULATED ARRIVAL PROCESSES AND BERNOULLI SERVICE SCHEDULE
• PERFORMANCE ANALYSIS OF A TWO-QUEUE MODEL WITH AN (M,N)-THRESHOLD SERVICE SCHEDULE
• THE OUTPUT RATE OF A PARALLEL QUEUEING MODEL WITH OVERLAPPING PROCESSING TIME

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