HW1 Q1Consider the emergency department of a hospital that operates as follows: Upon arrival, patients first wait in line for registration. Then,after registration, patients wait to see a triage nurse who classifies them as either critical or non-critical. After the triage nurse, criticalpatients go to the emergency care area waiting to be seen by a doctor while non-critical patients go to the routine care area wherethey wait to see a doctor.It is determined that there are, on average, 20 patients registering or waiting to be registered, 5 patients being seen or waiting to beseen by the triage nurse, 15 critical patients being seen or waiting to be seen by a doctor in the emergency area, and 20 non-criticalpatients being seen or waiting to be seen by a doctor in the routine care area,Assuming that 20 patients arrive every hour and that 75% of the patients are non-critical, how many minutes does a patient spend onaverage in the emergency department of the hospital?Average time spent by a patientAverage time spent by a non-critical patient

An average is the "typical" number of a gathering of numbers made by blending the gathering of…

Answered: HW1 Q1 Consider the emergency…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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Assume that during minute t (the current minute isminute 1), the following sequence of events occurs: (1) Atthe beginning of the minute, xt customers arrive at the cashregister; (2) the store manager decides how many cashregisters should be operated during the current minute;(3) if s cash registers are operated and i customers arepresent (including the current minute’s arrivals), c(s, i)customers complete service; and (4) the next minute begins.A cost of 10¢ is assessed for each minute a customerspends waiting to check out (this time includes checkouttime). Assume that it costs c(s) cents to operate s cashregisters for 1 minute. Formulate a dynamic programmingrecursion that minimizes the sum of holding and servicecosts during the next 60 minutes. Assume that before thefirst minute’s arrivals, no customers are present and thatholding cost is assessed at the end of each minute.
Universal bus service operates seven days in a week. A trip from Delhi to Rajpura takes six hours by bus. A typical time table of the bus service in both directions is given below. Delhi - Mumbai Mumbai - Delhi Flight No Departure Arrival a 06.00 12.00 b 07.30 13.30 c 11.30 17.30 d 19.00 01.00 e 00.30 06.30 Flight No Departure Arrival 1 05.30 11.30 2 09.00 15.00 3 15.00 21.00 4 18.30 00.30 5 00.00 06.00 The cost of providing this service by the transport company depends upon the time spent by the bus crew (driver and conductor) away from their places in addition to service times. There are five crews. There is a constraint that every crew should be provided with more than 4 hours of rest before the return trip and should not wait for more than 24 hours for the return trip. The company has residential facilities for the crew of Delhi as well as of Rajpura. Find which line of service be connected with which other line so as to reduce the waiting time to the minimum.
Based on Jacobs (1954). The Carter Caterer Company must have the following number of clean napkins available at the beginning of each of the next four days: day 1, 1500; day 2, 1200; day 3, 1800; day 4, 600. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs 50 cents per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs 30 cents per napkin, and these napkins can be reused two days after they are last used. New napkins can be purchased for a cost of 95 cents per napkin. Determine how to minimize the cost of meeting the demand for napkins during the next four days. (Note: There are at least two possible modeling approaches, one network and one nonnetwork. See if you can model it each way.)
A printing shop receives an average of 1 order per day.The average length of time required to complete an orderis .5 day. At any time, the print shop can work on at mostone job.a On the average, how many jobs are present in theprint shop?b On the average, how long will a person who placesan order have to wait until it is finished?c What is the probability that an order will be finishedwithin 2 days of its arrival?
Subject Name: Simulation & Modelling Q. Describe the following : • Simulation of a Multi-server queueing system • Simulation of an inventory system
Consider a bank with two tellers. An average of 2 customers per hour arrive at the bank and wait in a single línea for an idle teller. The average time it takes to serve a customer is triangular (x1=1, y1=0), (x2=4, y2=2/3) Assume that inter-arrival times and services time is exponential. Develop the service (ST) equation? a. Y=2x-22/6B. Y=2x-22/3C. Y=22/3x-2/3D. Y=2x-3/22
1. What is the outcome when a bottleneck resource is augmented with more capacity? 2. Which of the following statements are true? a) Installed capacity in service systems are always based on peak demand b) Service systems designed to handle average capacity will be more effective c) Improving effectiveness of a service will require greater investment of capacity d) None of the above 3. The arrival rate at the second server in a two stage serial queuing system is a. Service rate of server 1 b. Same as arrival rate at server 1 c. Minimum of service rate and arrival rate at server 1 d. Cannot be determined In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? 4. In a worker paced assembly line, consider a situation where the daily requirement has suddenly increased. Which of the following statements will be true? a) The required cycle time will also increase proportionally b) The…
OVERBOOKED: FRONT OFFICE PERSPECTIVE Overbooking is an accepted hotel and airline practice. Many questionthe practice from various standpoints, including ethical and moral.Industry executives, however, argue that there is nothing moreperishable than a vacant room. If it is not used, there is no chance toregain lost revenue. Hotels need to protect themselves becausepotential guests frequently make reservations at more than one hotelor are delayed and, therefore, do not show up. The percentage of no-shows varies by hotel and location but is often around five percent. In a 400-room hotel, that is 20 rooms, or an average loss ofapproximately $2,600 per night. Considering these figures, it is notsurprising that hotels try to protect themselves by overbooking.Hotels look carefully at bookings: Whom they are for, what rates theyare paying, when they were made, whether they are for regular guestsor from a major account (a corporation that uses the hotel frequently),and so on. Jill Reynolds,…
This problem illustrates balking. The Oryo Cookie IceCream Shop in Dunkirk Square has three competitors. Sincepeople don’t like to wait in long lines for ice cream, thearrival rate to the Oryo Cookie Ice Cream Shop depends onthe number of people in the shop. More specifically, whilej 4 customers are present in the Oryo shop, customersarrive at a rate of (20 5j) customers per hour. If more than4 people are in the Oryo shop, the arrival rate is zero. Foreach customer, revenues less raw material costs are 50¢.Each server is paid $3 per hour. A server can serve anaverage of 10 customers per hour. To maximize expectedprofits (revenues less raw material and labor costs), howmany servers should Oryo hire? Assume that interarrivaland service times are exponential.
38) Daisy's Shop Daisy runs a shop where she is able to serve an average of 9 customers per hour. An average of 5 customers per hour arrive at her shop. What is the average number of customers at the shop (either waiting in line or being served)? Group of answer choices a) 1.8 b) 2.67 c) 1.25 d) 0.56 e) 0.69 f) 3.00
You are trying to select between four online Help Desk plans from the Geek Squad. The Black Belt plan costs $29.95 / month plus $1 / online response, the Brown Belt plan costs $19.95 / month plus $3 / online response, the Green Belt plan costs $9.95 / month plus $5 / online response, and the No Plan option costs a flat $10 / question with no monthly fee. You expect to have around 6 requests for help per month. Set up the breakeven problem and be prepared to answer questions from the output.
Suppose I arrive at an M/M/7/FCFS/8/∞ queuing systemwhen all servers are busy. What is the probability that I willcomplete service before at least one of the seven customersin service?

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