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- WAITING LINE ANALYSIS
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- WAITING LINES OCCUR IN ALMOST ANY SYSTEM FROM THE SUPERMARKET
- CHECKOUT COUNTER TO THE RUNWAY AT AN AIRPORT. IN ANALYZING
- A WAITING LINE SITUATION, ON THE ONE HAND LONG WAITING LINES
- CAUSE LOSS OF BUSINESS EVEN IF ONLY DUE TO CUSTOMER DISSAT-
- FACTION WHILE INCREASING SERVICE INCREASES COSTS. IN THIS
- PROGRAM WE EXAMINE THE CHANGE IN COSTS DUE TO INCREASING THE
- SERVICE RATE BY ADDING SERVERS TO THE SYSTEM.
- THE APPROPRAIATE PARAMETERS ARE:
- MEAN ARRIVAL RATE OF UNITS(CUSTOMERS) INTO OUR SYSTEM.
- MEAN SERVICE RATE CAPABILITY BY 1 SERVER.
- COST PER UNIT TIME PER SERVER
- OPPORTUNITY COST PER UNIT TIME PER ITEM ON QUEUE.
- PRESS ENTER TO CONTINUE?
- BY THE WAY, A QUEUE IS A WAITING LINE.
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- THE OUTPUT OF THE SYSTEM IS A TABLE GIVING TOTAL COST
- OF THE SYSTEM USING VARIOUS NUMBERS OF SERVERS.
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- PRESS ENTER TO CONTINUE?
- THE MEAN SERVICE RATE IS THE SPEED AT WHICH 1 SERVER CAN
- HANDLE ITEMS NEEDING SERVICE IF HE IS ALWAYS BUSY.
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- THE MEAN ARRIVAL IS THE AVERAGE RATE(PER UNIT TIME)
- AT WHICH ITEMS ARRIVE FOR SERVICE INTO THE SYSTEM
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- ENTER MEAN SERVICE RATE(ITEMS PER UNIT TIME) ? 23
- ENTER MEAN ARRIVAL RATE(ITEMS PER UNIT TIME) ? 14
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- ENTER WAITING LINE COST($ PER ITEM ON LINE PER U
- NIT TIME ? 56
- ENTER COST OF A SERVER($ PER UNIT TIME) ? 78
- SERVERS AVG. QUEUE SERVER COST/ QUEUE COST/ TOTAL COST/
- LENGTH UNIT TIME UNIT TIME UNIT TIME
- 1 0.05 78.00 2.75 80.75
- 2 0.10 156.00 5.85 161.85
- 3 0.01 234.00 0.73 234.73
- 4 0.00 312.00 0.08 312.08
- 5 0.00 390.00 0.01 390.01
- 6 0.00 468.00 0.00 468.00
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- PRESS ENTER FOR MORE COMPUTATION? -1
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