(a) Consider 6 jobs having the processing times Pj, the due-dates d; and the weights w; ofthe jobs j=1, ..., 6, given in the table:Jobs1234632411Pid712186.7W;25313Calculate the total weighted completion time, the maximum lateness, and the totalweighted tardiness of the following schedule: 4, 2, 6, 3, 1, 5.

The total weighted completion time, the maximum lateness and the total weighted tardiness is given…

Answered: (a) Consider 6 jobs having the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Let X = {1,2,..., 100} , and consider two functions f : X → R and g: X → R. The Chebyshev metric of f and g is given by: d(f,g) = max|f(x) – g(x)| IEX Write a function d (f,g) that calculates the Chebyshev metric of any two functions f and g over the values in X.
(a) (b) (c) Can you give an example of an NP optimisation problem? What does the acronym NP stand for and mean in this context? Why can it be difficult for optimisation algorithms to find a global optimum for such problems (particularly as the problem size gets bigger)? What are deterministic algorithms and how do they differ from non-deterministic algorithms? Give an example of each. Why do non-deterministic algorithms often perform better than deterministic algorithms on NP problems? What does Q-convergence measure? Give a definition for Q-convergence. What does it mean when a numerical optimisation algorithm has Q-linear convergence?
Not a graded question
2. Find all values of x that satisfy both inequalities simultaneously for 10x – 7> 17 and 2x + 3 < 11. |
Q 3
Let M be the PDA defined by Q = {q, qo, 91, 92}, E= {a,b}, T = {a}, F := {q , q1}. 8(10, a , Zo) = {(q, Zo)} d(q, a, Zo) = {(q , aZo)} б(а, а, а) %3 {(q, аа)} 8(q, b , a) = {(q1,e)} d(q1, b, a) = {(q1,e)} 8(q1, b, Zo) = {(q2, e)} b) Trace all computations of the strings aab, abb, aba in M. c) Show that aaabb, aaab E L(M ).
4. Describe the requirements that need to be satisfied to solve the critical section problem. Give a solution to the critical section problem where there are 2 processes.
Simple example in healthcare: Let consider 7 patients with different surgeries times: ST=[4h30, 4h, 3h, 3h, 2h30, 1h30, 1h] We have to decide how to assign patients to the operating rooms. First problem: let consider 3 operating rooms available with their corresponding capacities OR=[7h30, 4h, 4h]. We want to operate the maximum number of patients. Propose a model and solve it using CPLEX
Assume for convenience that demand is constant, the stock keeping unit (SKU) has been stored in k locations of identical size, and all picks are from a single active pick location until that location is exhausted. Then the inventory cycle may be imagined as consisting of k periods, each devoted to a particular pick location. The space utilization in period i is k-(i-1)-12/1 k-i+ k-(i-1) Thus, the average of the space utilization (ASU) of all k periods is asu= (1) The space utilization (SU) of the whole k periods is su = k = k i=1 2 k-i +1 i=1 k-i+ k-i +1 Σk-i+ i=1 k Σ(k-i+1) Use MATLAB® to write the functions to calculate "asu" and "su" of input "K". Employing these functions, program the script to draw the curves that show how both "asu" and "su" increase with additional storage locations, but at a diminishing rate.
Branch-and-bound method exercise (Computer Science or Advanced Math) Let there be five jobs of the same type and one machine to get those jobs done. The processing time of the job on the machine and the time allowed for the job to be completed for each job are given in the table below. Job On the machinecompletion time(minute) To be finishedtime allowed(minute) 1 3 4 2 6 8 3 8 12 4 4 15 5 2 11 Apply the branch-and-bound method step by step to order the jobs in a way that minimizes the total delay time. State the optimal solution clearly. Thank you so much.

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