Assignments can play a pivotal role for students securing higher marks. Each assignment has its due date for submission and missing this date without permission would require a penalty. Significant amounts of time and money are spent during the process of getting and granting permission, and verifying the approval of late assignment submitter. This study analyses three research questions: (1) A...

The increasing ability to interconnect computers through internetworking, wireless networks, high-bandwidth satellite, and cable networks has spawned a new class of information-centered applications based on data dissemination. These applications, which often serve huge client populations, employ broadcast to efficiently deliver data to the clients. In data dissemination, the data transfer is i...

Maneesh Sahani & Yee Whye Teh Due: Thu Dec 6, 2012 Note: all assignments for this course are to be handed in to the Gatsby Unit, not to the CS department. Assignments are due at the beginning of the lecture or tutorial on the due date. Late assignments (included those handed in later on the due day) will be penalised. If you are unable to attend, you may hand in your assignment to either lectur...

This paper considers single machine due-window assignment scheduling problems with position-dependent weights. Under the learning and deterioration effects of jobs processing times, our goal is to minimize weighted sum earliness-tardiness, starting time due-window, size, where weights only depends on their position in a sequence (i.e., weights). common (CONW), slack (SLKW) different (DIFW) assi...

(a) Let d = (m,n). Then notice that d · nd = n ≡ 0 ∈ Z/n, so nd is in the kernel of the map ·m. Now let k ∈ Z/n satisfy mk = 0 ∈ Z/n. Then we have mk = c′n for some c′ ∈ Z. We can write n = d · nd , and so we have mk = cdd . Dividing both sides by d, we find m d k = c ′ n d where m d ∈ Z. But md is relatively prime to n, and so letting k = ( m d )−1 c′ nd , we see that k ∈ {n/d} and we are done...