TY - JOUR
T1 - Stationary remaining service time conditional on queue length
AU - Sigman, Karl
AU - Yechiali, Uri
PY - 2007/9
Y1 - 2007/9
N2 - In Mandelbaum and Yechiali [The conditional residual service time in the M/G/1 queue, http://www.math.tau.ac.il/∼uriy/publications (No. 30a), 1979] and in Fakinos [The expected remaining service time in a single-server queue, Oper. Res. 30 (1982) 1014-1018] a simple formula is derived for the (stationary) expected remaining service time in a M/G/1 queue, conditional on the number of customers in the system. We give a short new proof of the formula using Rate Conservation Law, and generalize to handle higher moments.
AB - In Mandelbaum and Yechiali [The conditional residual service time in the M/G/1 queue, http://www.math.tau.ac.il/∼uriy/publications (No. 30a), 1979] and in Fakinos [The expected remaining service time in a single-server queue, Oper. Res. 30 (1982) 1014-1018] a simple formula is derived for the (stationary) expected remaining service time in a M/G/1 queue, conditional on the number of customers in the system. We give a short new proof of the formula using Rate Conservation Law, and generalize to handle higher moments.
KW - Conditional residual service time
KW - M/G/1
KW - Rate conservation law
UR - http://www.scopus.com/inward/record.url?scp=34547601105&partnerID=8YFLogxK
U2 - 10.1016/j.orl.2006.11.003
DO - 10.1016/j.orl.2006.11.003
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:34547601105
SN - 0167-6377
VL - 35
SP - 581
EP - 583
JO - Operations Research Letters
JF - Operations Research Letters
IS - 5
ER -