|
|
|
|
| LEADER |
01000caa a22002652 4500 |
| 001 |
JST063703297 |
| 003 |
DE-627 |
| 005 |
20240622102648.0 |
| 007 |
cr uuu---uuuuu |
| 008 |
150325s1987 xx |||||o 00| ||eng c |
| 035 |
|
|
|a (DE-627)JST063703297
|
| 035 |
|
|
|a (JST)170542
|
| 040 |
|
|
|a DE-627
|b ger
|c DE-627
|e rakwb
|
| 041 |
|
|
|a eng
|
| 084 |
|
|
|a 696 convexity of performance measures
|2 MSC
|
| 084 |
|
|
|a 699 tractability of design models
|2 MSC
|
| 100 |
1 |
|
|a Harel, Arie
|e verfasserin
|4 aut
|
| 245 |
1 |
0 |
|a Strong Convexity Results for Queueing Systems
|
| 264 |
|
1 |
|c 1987
|
| 336 |
|
|
|a Text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a Computermedien
|b c
|2 rdamedia
|
| 338 |
|
|
|a Online-Ressource
|b cr
|2 rdacarrier
|
| 520 |
|
|
|a We prove a strong (and seemingly odd) result about the M/M/c queue: the reciprocal of the average sojourn time is a concave function of the traffic intensity. We use this result to show that the average itself is jointly convex in arrival and service rates. The standard deviation has the same properties. Also, we determine conditions under which these properties are exhibited by a standard approximation for the M/G/c queue. These results are useful in design studies for telecommunications and production systems.
|
| 540 |
|
|
|a Copyright 1987 The Operations Research Society of America
|
| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Geometry
|x Geometric properties
|x Convexity
|
| 650 |
|
4 |
|a Mathematics
|x Mathematical procedures
|x Approximation
|
| 650 |
|
4 |
|a Applied sciences
|x Engineering
|x Transportation
|x Traffic
|
| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Normal distribution curve
|x Standard deviation
|
| 650 |
|
4 |
|a Business
|x Business administration
|x Business management
|x Performance management
|x Performance metrics
|
| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Geometry
|x Geometric properties
|x Concavity
|
| 650 |
|
4 |
|a Business
|x Business economics
|x Commercial production
|x Production engineering
|x Production technology
|
| 650 |
|
4 |
|a Mathematics
|x Mathematical expressions
|x Mathematical functions
|x Monotonic functions
|x Decreasing functions
|
| 655 |
|
4 |
|a research-article
|
| 700 |
1 |
|
|a Zipkin, Paul H.
|e verfasserin
|4 aut
|
| 773 |
0 |
8 |
|i Enthalten in
|t Operations Research
|d Institute for Operations Research and the Management Sciences, 1956
|g 35(1987), 3, Seite 405-418
|w (DE-627)320595005
|w (DE-600)2019440-7
|x 15265463
|7 nnns
|
| 773 |
1 |
8 |
|g volume:35
|g year:1987
|g number:3
|g pages:405-418
|
| 856 |
4 |
0 |
|u https://www.jstor.org/stable/170542
|3 Volltext
|
| 912 |
|
|
|a GBV_USEFLAG_A
|
| 912 |
|
|
|a SYSFLAG_A
|
| 912 |
|
|
|a GBV_JST
|
| 912 |
|
|
|a GBV_ILN_11
|
| 912 |
|
|
|a GBV_ILN_20
|
| 912 |
|
|
|a GBV_ILN_22
|
| 912 |
|
|
|a GBV_ILN_23
|
| 912 |
|
|
|a GBV_ILN_24
|
| 912 |
|
|
|a GBV_ILN_31
|
| 912 |
|
|
|a GBV_ILN_32
|
| 912 |
|
|
|a GBV_ILN_39
|
| 912 |
|
|
|a GBV_ILN_40
|
| 912 |
|
|
|a GBV_ILN_60
|
| 912 |
|
|
|a GBV_ILN_62
|
| 912 |
|
|
|a GBV_ILN_63
|
| 912 |
|
|
|a GBV_ILN_65
|
| 912 |
|
|
|a GBV_ILN_69
|
| 912 |
|
|
|a GBV_ILN_70
|
| 912 |
|
|
|a GBV_ILN_90
|
| 912 |
|
|
|a GBV_ILN_95
|
| 912 |
|
|
|a GBV_ILN_100
|
| 912 |
|
|
|a GBV_ILN_101
|
| 912 |
|
|
|a GBV_ILN_110
|
| 912 |
|
|
|a GBV_ILN_120
|
| 912 |
|
|
|a GBV_ILN_152
|
| 912 |
|
|
|a GBV_ILN_187
|
| 912 |
|
|
|a GBV_ILN_224
|
| 912 |
|
|
|a GBV_ILN_285
|
| 912 |
|
|
|a GBV_ILN_374
|
| 912 |
|
|
|a GBV_ILN_702
|
| 912 |
|
|
|a GBV_ILN_2001
|
| 912 |
|
|
|a GBV_ILN_2003
|
| 912 |
|
|
|a GBV_ILN_2005
|
| 912 |
|
|
|a GBV_ILN_2006
|
| 912 |
|
|
|a GBV_ILN_2007
|
| 912 |
|
|
|a GBV_ILN_2008
|
| 912 |
|
|
|a GBV_ILN_2009
|
| 912 |
|
|
|a GBV_ILN_2010
|
| 912 |
|
|
|a GBV_ILN_2011
|
| 912 |
|
|
|a GBV_ILN_2014
|
| 912 |
|
|
|a GBV_ILN_2015
|
| 912 |
|
|
|a GBV_ILN_2018
|
| 912 |
|
|
|a GBV_ILN_2020
|
| 912 |
|
|
|a GBV_ILN_2021
|
| 912 |
|
|
|a GBV_ILN_2026
|
| 912 |
|
|
|a GBV_ILN_2027
|
| 912 |
|
|
|a GBV_ILN_2034
|
| 912 |
|
|
|a GBV_ILN_2044
|
| 912 |
|
|
|a GBV_ILN_2048
|
| 912 |
|
|
|a GBV_ILN_2050
|
| 912 |
|
|
|a GBV_ILN_2055
|
| 912 |
|
|
|a GBV_ILN_2056
|
| 912 |
|
|
|a GBV_ILN_2057
|
| 912 |
|
|
|a GBV_ILN_2059
|
| 912 |
|
|
|a GBV_ILN_2061
|
| 912 |
|
|
|a GBV_ILN_2065
|
| 912 |
|
|
|a GBV_ILN_2068
|
| 912 |
|
|
|a GBV_ILN_2106
|
| 912 |
|
|
|a GBV_ILN_2107
|
| 912 |
|
|
|a GBV_ILN_2108
|
| 912 |
|
|
|a GBV_ILN_2111
|
| 912 |
|
|
|a GBV_ILN_2112
|
| 912 |
|
|
|a GBV_ILN_2113
|
| 912 |
|
|
|a GBV_ILN_2118
|
| 912 |
|
|
|a GBV_ILN_2122
|
| 912 |
|
|
|a GBV_ILN_2129
|
| 912 |
|
|
|a GBV_ILN_2143
|
| 912 |
|
|
|a GBV_ILN_2147
|
| 912 |
|
|
|a GBV_ILN_2148
|
| 912 |
|
|
|a GBV_ILN_2152
|
| 912 |
|
|
|a GBV_ILN_2153
|
| 912 |
|
|
|a GBV_ILN_2190
|
| 912 |
|
|
|a GBV_ILN_2232
|
| 912 |
|
|
|a GBV_ILN_2472
|
| 912 |
|
|
|a GBV_ILN_2935
|
| 912 |
|
|
|a GBV_ILN_2940
|
| 912 |
|
|
|a GBV_ILN_2949
|
| 912 |
|
|
|a GBV_ILN_2950
|
| 912 |
|
|
|a GBV_ILN_4012
|
| 912 |
|
|
|a GBV_ILN_4035
|
| 912 |
|
|
|a GBV_ILN_4037
|
| 912 |
|
|
|a GBV_ILN_4046
|
| 912 |
|
|
|a GBV_ILN_4112
|
| 912 |
|
|
|a GBV_ILN_4125
|
| 912 |
|
|
|a GBV_ILN_4126
|
| 912 |
|
|
|a GBV_ILN_4242
|
| 912 |
|
|
|a GBV_ILN_4246
|
| 912 |
|
|
|a GBV_ILN_4249
|
| 912 |
|
|
|a GBV_ILN_4251
|
| 912 |
|
|
|a GBV_ILN_4305
|
| 912 |
|
|
|a GBV_ILN_4306
|
| 912 |
|
|
|a GBV_ILN_4307
|
| 912 |
|
|
|a GBV_ILN_4313
|
| 912 |
|
|
|a GBV_ILN_4322
|
| 912 |
|
|
|a GBV_ILN_4323
|
| 912 |
|
|
|a GBV_ILN_4324
|
| 912 |
|
|
|a GBV_ILN_4325
|
| 912 |
|
|
|a GBV_ILN_4326
|
| 912 |
|
|
|a GBV_ILN_4335
|
| 912 |
|
|
|a GBV_ILN_4338
|
| 912 |
|
|
|a GBV_ILN_4346
|
| 912 |
|
|
|a GBV_ILN_4393
|
| 912 |
|
|
|a GBV_ILN_4700
|
| 951 |
|
|
|a AR
|
| 952 |
|
|
|d 35
|j 1987
|e 3
|h 405-418
|