ࡱ> customers lost; FLOST = @PEL( 70 * 5 / 60 , N); END MODEL: ! Model of a queuing system with N servers, each of which costs $17/hour. Arrivals occur at a rate of 70 per hour in a Poisson stream. Arrivals finding all servers busy are lost. A lost customer costs $35. The average time to process a customer is 5 minutes; ! Minimize total cost = service costs + lost customer cost; [COST] MIN = SCOST + LCOST ; ! Cost of servers; SCOST = 17 * N ; ! Cost of lost customers; LCOST = 35 * 70 * FLOST ; ! The fraction of Root Entry;CONTENTS;Root Entry*0_^eContents  {\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Courier New;}} {\colortbl ;\red0\green0\blue255;\red0\green0\blue0;\red0\green175\blue0;} \viewkind4\uc1\pard\cf1\f0\fs20 MODEL\cf2 : \par \cf3 ! Model of a queuing system with N servers, each of \par which costs $17/hour. Arrivals occur at a rate of \par 70 per hour in a Poisson stream. Arrivals finding \par all servers busy are lost. A lost customer costs \par $35. The average time to process a customer is 5 \par minutes;\cf2 \par \par \cf3 ! Minimize total cost = \par service costs + lost customer cost;\cf2 \par [COST] \cf1 MIN\cf2 = SCOST + LCOST ; \par \par \cf3 ! Cost of servers;\cf2 \par SCOST = 17 * N ; \par \par \cf3 ! Cost of lost customers;\cf2 \par LCOST = 35 * 70 * FLOST ; \par \par \cf3 ! The fraction of customers lost;\cf2 \par FLOST = \cf1 @PEL\cf2 ( 70 * 5 / 60 , N); \par \cf1 END\cf2 \par \par }